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2 years ago

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes?

Mathematics

1 answer:

Mkey [24]2 years ago

6 0

Answer:

4π in ≈ 12.57 in

Step-by-step explanation:

One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...

s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in

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What is 1/9 written as a decimal AND a percentage?

julia-pushkina [17]

.1 repeating - decimal
11% - percentage

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2 years ago

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point (−5,8).

Fantom [35]

Answer: y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is

y = -(9/5)x - 1

7 0

2 years ago

I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )

Sedaia [141]

Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

4 0

2 years ago

When Arianna left her house,her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her h

4vir4ik [10]

Answer:

B = 3.75t

Step-by-step explanation:

Given;

initial charge of Arianna's phone = 45%

the charge remaining in Arianna battery = 15%

If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.

Thus, the charge remaining in Arianna's battery after she left her house is given by;

B = 3.75t

where;

t is time in hours

B is the percentage of charge remaining

6 0

3 years ago

In 2016, 1 out of every 5 people under the age of 50 used a cell phone to read e-books. If there were approximately 225 millio

statuscvo [17]

Answer: 45

Step-by-step explanation:

In 2016, 1 out of every 5 people under the age of 50 used a cell phone to read e-books. This means that 2 out of every 10 people under the age of 50 used a cell phone to read e-books. Also, 3 out of every 15 people under the age of 50 used a cell phone to read e-books.

Therefore, if there were x people under the age of 50 in 2016, then the number that used a cell phone to read e-books would be

1/5 × x = x/5

If there were approximately 225 million people under the age of 50 in 2016, then the number that were likely to have read an e-book on a cell phone is

225/5 = 45 people.

3 0

2 years ago

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes​?

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes?